What will be the effect on the capacitance of a capacitor if area of each plate is doubled while separation between the plates is halved?
Correct answer: C. Capacitance becomes four times
- A. Capacitance remains same
- B. Capacitance becomes double
- C. Capacitance becomes four times
- D. Capacitance reduces to half
Explanation
The formula for capacitance is𝐶=ε𝐴 / 𝑑where,A is the area of the plate, d is the distance between the two parallel plates.If area is doubled, it becomes 2Aif distance is halved it becomes d/2So the new capacitance will be,𝐶2=ε2𝐴÷ 𝑑/2 = 4ε𝐴/𝑑Since 𝐶1 = ε𝐴/𝑑𝐶2= 4𝐶1Hence capacitance will become 4 times.
This question appeared on the UHS MDCAT 2012 paper, which you can sit online with every answer explained.
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About Capacitors
Capacitors store electric charge and energy in an electric field between conductors. Work includes capacitance, the relation Q = CV, dielectric materials, charging and discharging, energy formulas, and combinations of capacitors in series and parallel. Electric potential difference is needed to understand why charge and stored energy change.
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